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Simplifying -2(u + 2) = 8u + -9 + 3(2u + 3) Reorder the terms: -2(2 + u) = 8u + -9 + 3(2u + 3) (2 * -2 + u * -2) = 8u + -9 + 3(2u + 3) (-4 + -2u) = 8u + -9 + 3(2u + 3) Reorder the terms: -4 + -2u = 8u + -9 + 3(3 + 2u) -4 + -2u = 8u + -9 + (3 * 3 + 2u * 3) -4 + -2u = 8u + -9 + (9 + 6u) Reorder the terms: -4 + -2u = -9 + 9 + 8u + 6u Combine like terms: -9 + 9 = 0 -4 + -2u = 0 + 8u + 6u -4 + -2u = 8u + 6u Combine like terms: 8u + 6u = 14u -4 + -2u = 14u Solving -4 + -2u = 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -4 + -2u + -14u = 14u + -14u Combine like terms: -2u + -14u = -16u -4 + -16u = 14u + -14u Combine like terms: 14u + -14u = 0 -4 + -16u = 0 Add '4' to each side of the equation. -4 + 4 + -16u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -16u = 0 + 4 -16u = 0 + 4 Combine like terms: 0 + 4 = 4 -16u = 4 Divide each side by '-16'. u = -0.25 Simplifying u = -0.25
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